| 均匀性度量的势函数模型 |
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| 引用本文： | 胡东红,李德华,王祖喜.均匀性度量的势函数模型[J].数学物理学报(A辑),2003,23(5):607-612. |
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| 作者姓名： | 胡东红 李德华 王祖喜 |
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| 作者单位： | [1]华中科技大学图像所，图像信息处理与智能控制国家教委开放研究实验室，武汉430074 [2]湖北大学物理学与电子技术学院，武汉430062 |
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| 基金项目： | 国家 973计划资助项目 ( G1 9990 5 440 0 ) |
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| 摘 要： | 分析了均匀性度量应满足的基本条件，根据物理学的势和力的模型，提出了均匀性度量的势函数模型，该模型较好地解决了均匀性度量的可计算性、布点的均匀性调整方法等问题；而且具有均匀性度量所应该具有的所有优良性质，如旋转对称性、平移对称性、中心对称性等。最后给出了应用实例，并就低维投影的均匀性问题和势函数模型的改进作了讨论。
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| 关 键 词： | 试验设计 均匀设计 均匀性度量 势函数 |
| 文章编号： | 1003-3998(2003)05-607-06 |
| 修稿时间： | 2001年11月19 |
Potential Function Model of Uniformity Measurement |
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| HU Dong-Hong,LI De-Hua,WANG Zu-Xi.Potential Function Model of Uniformity Measurement[J].Acta Mathematica Scientia,2003,23(5):607-612. |
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| Authors: | HU Dong-Hong LI De-Hua WANG Zu-Xi |
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| Abstract: | The basic characteristics that any criterion of uniformity measurement should have are discussed. According to the model of physics potential and force, a new criterion of uniformity measurement, potential function model of uniformity measurement, is proposed. The model not only can solve the problems such as computability and the adjustable character for uniformity, but also has all the good characters, which a uniformity measurement should have, such as rotation symmetry, translation symmetry and center reflection symmetry. An example is shown and the uniformity of lower dimension projection is discussed at the end. |
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| Keywords: | Experiment design Uniform design Uniform measurement Potential function |
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